248975015120832 has 672 divisors, whose sum is σ = 929305758173184. Its totient is φ = 57768676761600.

The previous prime is 248975015120749. The next prime is 248975015120879. The reversal of 248975015120832 is 238021510579842.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38720758 + ... + 44690570.

It is an arithmetic number, because the mean of its divisors is an integer number (1382895473472).

Almost surely, 2^{248975015120832} is an apocalyptic number.

248975015120832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248975015120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464652879086592).

248975015120832 is an abundant number, since it is smaller than the sum of its proper divisors (680330743052352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248975015120832 is a wasteful number, since it uses less digits than its factorization.

248975015120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969897 (or 5969880 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 248975015120832 in words is "two hundred forty-eight trillion, nine hundred seventy-five billion, fifteen million, one hundred twenty thousand, eight hundred thirty-two".